Respuesta :
Answer:
- 60 cm
Step-by-step explanation:
Use Pythagorean.
The width and height are the legs and the diagonal is the hypotenuse of the right triangle.
- [tex]w = \sqrt{d^2-h^2}[/tex]
- [tex]w = \sqrt{65^2-25^2} =\sqrt{4225-625} =\sqrt{3600} =60[/tex]
Look at the diagram and apply Pythagorean theorem
[tex]\\ \tt\hookrightarrow x^2=65^2-25^2[/tex]
[tex]\\ \tt\hookrightarrow x^2=4225-625[/tex]
[tex]\\ \tt\hookrightarrow x^2=3600[/tex]
[tex]\\ \tt\hookrightarrow x=60cm[/tex]